We compare money-out over the chosen horizon and treat repaid principal as your equity.
Annuity: Payment = S·r/(1−(1+r)^(−n)), where S — principal, r — monthly rate, n — months. “Owner total per month” = mortgage + HOA + insurance/12 + property tax/12. Renovation = m² × $/m² × FX; may be included in loan. We compare money-out over the horizon and account for repaid principal as your equity.